Calculus

Calculus (from Latin calculus, literally "small pebble used for counting on an abacus") is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations. It has two major branches, differential calculus (concerning rates of change and slopes of curves), and integral calculus (concerning accumulation of quantities and the areas under and between curves); these two branches are related to each other by the fundamental theorem of calculus. Both branches make use of the fundamental notions of co ...more

Calculus Books

Calculus, Volume 1: One-Variable Calculus with an Introduction to Linear Algebra

Infinite Powers: How Calculus Reveals the Secrets of the Universe

Calculus, Volume 2: Multi-Variable Calculus and Linear Algebra, with Applications to Differential Equations and Probability

Calculus: An Intuitive and Physical Approach

The Calculus Lifesaver: All the Tools You Need to Excel at Calculus (Princeton Lifesaver Study Guides)

A First Course in Calculus (Undergraduate Texts in Mathematics)

Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus

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Lists

Understanding Analysis by Stephen Abbott

The Cauchy-Schwarz Master Class by J. Michael Steele

How to Think About Analysis by Lara Alcock

Div, Grad, Curl, and All That by Harry M. Schey

Principles of Mathematical Analysis by Walter Rudin

Real Analysis (MMath)

51 books — 9 voters

Calculus Made Easy by Silvanus Phillips Thompson

The Mathematical Psychology of Gratry and Boole by Mary Everest Boole

G. W. Leibniz's Monadology by Gottfried Wilhelm von Leibniz

Difficult & Tenacious Calculus

35 books — 1 voter

The Boy Who Loved Math by Deborah Heiligman

Mathematics in the Title

248 books — 26 voters

Quick Forty Integration and Differential Equations by Alexander Forrest

New Advanced Higher Mathematics Revision Notes by Alexander Forrest

Nat5/GCSE Mathematics Revision Questions With Worked Solutions by Alexander Forrest

Higher Mathematics Revision Questions by Alexander Forrest

Maths Revision

4 books — 1 voter

The Man Who Loved Only Numbers by Paul Hoffman

The Man Who Knew Infinity by Robert Kanigel

So You Want to Study Mathematics… by Susan Rigetti

45 books — 1 voter

Category Theory in Context by Emily Riehl

On Formally Undecidable Propositions of Principia Mathematica... by Kurt Gödel

A Book of Abstract Algebra by Charles C. Pinter

Set Theory and the Continuum Hypothesis by Paul Cohen

Dover Mathematics

891 books — 36 voters

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Quotes Tagged “Calculus”

“ Nothing takes place in the world whose meaning is not that of some maximum or minimum. ”
― Leonhard Euler

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“ Cournot protested that concepts exist in the understanding, independently of the definition which one gives to them. Simple ideas sometimes have complicated definitions, or even none. For this reason he felt that one should not subordinate the precision of such ideas as those of speed or the infinitely small to logical definition. This point of view is diametrically opposed to that which analysis since the time of Cournot has been toward ever-greater care in the formal logical elaboration of the ...more ”
― Carl B. Boyer, The History of the Calculus and Its Conceptual Development

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